I did not check the "park-tail" fuse when I looked at some of the fuses before. Actually, I didn't see the writing on the fuse box when I looked the first time. The fuse that was in there was burned out from me testing the passenger side rear lights. So, I put a new 20 amp fuse in and BINGO. The passenger side now worked, but the driver side was still out. I then opened up the rear light mounting box for the lights and inspected the wiring. The PO had replaced the connections some time ago and only crimped the wires together. I gently pulled on the wires and one came apart and the other felt loose. So, I went down to Pep Boys and bought a new connection. I then soldered the wires together and tried it out. PERFECTION! The rear light/brake lights now works.
All of my light work now for the exception of the driver side front turn signal. That will be my next project.
I just wanted to say thanks to you guys. Both of the responses really helped. I should have paid more attention to the fuse box the first time.
Thanks again, Paul